Space–time interface-tracking with topology change (ST-TC)

Kenji Takizawa, Tayfun E. Tezduyar*, Austin Buscher, Shohei Asada

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

114 Citations (Scopus)


To address the computational challenges associated with contact between moving interfaces, such as those in cardiovascular fluid–structure interaction (FSI), parachute FSI, and flapping-wing aerodynamics, we introduce a space–time (ST) interface-tracking method that can deal with topology change (TC). In cardiovascular FSI, our primary target is heart valves. The method is a new version of the deforming-spatial-domain/stabilized space–time (DSD/SST) method, and we call it ST-TC. It includes a master–slave system that maintains the connectivity of the “parent” mesh when there is contact between the moving interfaces. It is an efficient, practical alternative to using unstructured ST meshes, but without giving up on the accurate representation of the interface or consistent representation of the interface motion. We explain the method with conceptual examples and present 2D test computations with models representative of the classes of problems we are targeting.

Original languageEnglish
Pages (from-to)955-971
Number of pages17
JournalComputational Mechanics
Issue number4
Publication statusPublished - 2014 Oct 1


  • Cardiovascular FSI
  • DSD/SST method
  • FSI with contact
  • Flapping-wing aerodynamics
  • Heart valves
  • Parachute FSI
  • Space–time interface-tracking
  • Topology change

ASJC Scopus subject areas

  • Computational Mechanics
  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics


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